2017/01/11 by Nir Shlezinger, Daniel Zahavi, Shlezinger, Nir +5
Engineering · Computer Science · #Wireless Communication Security Techniques #Cooperative Communication and Network Coding #Antenna Design and Analysis
paper · pdf · doi:10.48550/arxiv.1701.02882
In this work we study the secrecy capacity of Gaussian multiple-input\nmultiple-output (MIMO) wiretap channels (WTCs) with a finite memory, subject to\na per-symbol average power constraint on the MIMO channel input. MIMO channels\nwith finite memory are very common in wireless communications as well as in\nwireline communications (e.g., in communications over power lines). To derive\nthe secrecy capacity of the Gaussian MIMO WTC with finite memory we first\nconstruct an asymptotically-equivalent block-memoryless MIMO WTC, which is then\ntransformed into a set of parallel, independent, memoryless MIMO WTCs in the\nfrequency domain. The secrecy capacity of the Gaussian MIMO WTC with finite\nmemory is obtained as the secrecy capacity of the set of parallel independent\nmemoryless MIMO WTCs, and is expressed as a maximization over the input\ncovariance matrices in the frequency domain. Lastly, we detail two applications\nof our result: First, we show that the secrecy capacity of the Gaussian scalar\nWTC with finite memory can be achieved by waterfilling, and obtain a\nclosed-form expression for this secrecy capacity. Then, we use our result to\ncharacterize the secrecy capacity of narrowband powerline channels, thereby\nresolving one of the major open issues for this channel model.\n